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Simplifying 2c + 21 = 4c + 38 Reorder the terms: 21 + 2c = 4c + 38 Reorder the terms: 21 + 2c = 38 + 4c Solving 21 + 2c = 38 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 21 + 2c + -4c = 38 + 4c + -4c Combine like terms: 2c + -4c = -2c 21 + -2c = 38 + 4c + -4c Combine like terms: 4c + -4c = 0 21 + -2c = 38 + 0 21 + -2c = 38 Add '-21' to each side of the equation. 21 + -21 + -2c = 38 + -21 Combine like terms: 21 + -21 = 0 0 + -2c = 38 + -21 -2c = 38 + -21 Combine like terms: 38 + -21 = 17 -2c = 17 Divide each side by '-2'. c = -8.5 Simplifying c = -8.5
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